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Finding the Fourth Proportional to 319,204.95, 478,768.41 and 82,527.81

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Solution

The fourth proportional to 319,204.95, 478,768.41 and 82,527.81 is: 123,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,204.95 : 478,768.41 = 82,527.81 : x
  2. Step 2: Convert to fraction form
    319,204.95/478,768.41 = 82,527.81/x
  3. Step 3: Cross multiply
    319,204.95x = 478,768.41 × 82,527.81
  4. Step 4: Simplify right side
    319,204.95x = 39,511,708,374.48
  5. Step 5: Solve for x
    x = 39,511,708,374.48/319,204.95
  6. Step 6: Final answer
    x = 123,781.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.